Jensen-Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor's formula

DOI10.1007/s00010-017-0527-2zbMath1396.26037OpenAlexW2781768239MaRDI QIDQ2413325

Ammara Nosheen, Rabia Bibi, Josip E. Pečarić

Publication date: 10 April 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-017-0527-2

zbMATH Keywords

Taylor's formulaGreen functionJensen-Steffensen inequalitydiamond integrals

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13) Dynamic equations on time scales or measure chains (34N05)

Related Items (4)

Estimation of entropies on time scales by Lidstone's interpolation using Csiszár-type functional ⋮ Estimation of divergence measures on time scales via Taylor's polynomial and Green's function with applications in \(q\)-calculus ⋮ Extensions in time scales integral inequalities of Jensen's type via Fink's identity ⋮ New entropic bounds on time scales via Hermite interpolating polynomial

Cites Work

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• $\mathbf{n}$-exponential convexity for Jensen-type inequalities
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Completely Convex Functions and Lidstone Series
• Convex functions and their applications. A contemporary approach

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